An initial investment of $2,000 grows to $2,400 in 3 years. The annual growth rate, expressed as a decimal, is _______(Round the result to two decimal places.).
Answer & Analysis
Analysis
Question Analysis
This problem requires the student to determine the annual growth rate from the given initial and final values over a specified time period.
Key Concept Explanation
Exponential growth occurs when a quantity increases by a fixed percentage over each equal time period. The general model for exponential growth is , where is the growth rate (a positive decimal).
Step-by-step Solution
1. Identify the given information: Initial investment , final amount , and time years.
2. Set up the equation using the exponential growth model: .
3. Divide both sides by 2,000:
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.